The Freiheitssatz and automorphisms for free brace algebras
نویسندگان
چکیده
منابع مشابه
The Freiheitssatz and the Automorphisms of Free Right-symmetric Algebras
We prove the Freiheitssatz for right-symmetric algebras and the decidability of the word problem for right-symmetric algebras with a single defining relation. We also prove that two generated subalgebras of free right-symmetric algebras are free and automorphisms of two generated free right-symmetric algebras are tame. Mathematics Subject Classification (2000): Primary 17A36, 17A50; Secondary 1...
متن کاملFree Algebras and the Freiheitssatz
We prove the Freiheitssatz for free associative algebras over any field. This extends the previous result of Marker-Limanov and immediately implies the Freiheitssatz for free restricted Lie algebras and free Lie algebras. We prove the Freiheitssatz for free Poisson algebras over a field of characteristic zero. This answers a question of MarkerLimanov and Umirbaev in the affirmative.
متن کاملon magnus' freiheitssatz and free polynomial algebras
the freiheitssatz of magnus for one-relator groups is one of the cornerstones of combinatorial group theory. in this short note which is mostly expository we discuss the relationship between the freiheitssatz and corre-sponding results in free power series rings over fields. these are related to results of schneerson not readily available in english. this relationship uses a faithful representa...
متن کاملAutomorphisms of the category of free Lie algebras
We prove that every automorphism of the category of free Lie algebras is a semi-inner automorphism. This solves the problem 3.9 from [19] for Lie algebras.
متن کاملAutomorphisms of the Semigroup of All Endomorphisms of Free Algebras
Last years a number of papers were devoted to describing automorphisms of semigroups of endomorphisms of free finitely generated universal algebras of some varieties: groups, semigroups, associative commutative algebras, inverse semigroups, modules, Lie algebras and some others (see references). All these researches were inspired by the questions prof. B. Plotkin set in connection with so calle...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2019
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927872.2019.1579337